Q.A cantilever AB is 6 m long and is fixed at A. It carries point loads of 10 kN, 8 kN and 12 kN at 2 m, 5 m and 6 m respectively from the fixed end. Draw SFD and state max SF

SOLUTION:

SHEAR FORCE DIAGRAM

FA =30 kN (same in between AC)
FC (just left of C) = 30 kN
FC (just right of C) = 20 kN
FD (just left of D) = 20 kN
FD (just right of D) = 12 kN
FB =(just left of B) = 12 kN
FB (just right of B) =0 kN
Max SF occurs at A = 30 kN (and is same in between AC)

 

 

Q. A cantilever beam of SPAN 4 m four point loads 3 kN, 2 kN, 2KN and 3 KN are acting at 1m, 2m, 3m and 4 m respectively form the free end. Draw the shear force diagram.

SOLUTION:

Total load 3+2+2+3=10 kN

SHEAR FORCE DIAGRAM

FA 10 kN (same in AC)
Fc (just left of C) = 10 kN
FC = (just right of C) = 7 kN (same in CD)
FD (just left of D) = 7 kN
FD (just right of D) = 5 kN (same in DE)
FE =(just left of E) = 5 kN
FE =(just right of E) = 3 kN (same in EB)
FB =(just left of B) = 3 kN
FB= (just right of B) = 0 kN
Max SF occurs A = 10 kN (same in AC)

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